The active control of turbulent boundary layer noise in commercial aircraft
has gained significant interest in recent years, and, due to the stochastic
nature of the disturbance, feedback control strategies are required. Linear
quadratic Gaussian control has been proposed in the past [Baumann et al., J.
Acoust. Soc. Am. (1991)], but compensators resulting from such control
approaches are typically quite involved. The thrust of the current effort is to
demonstrate that acceptable performance in structural acoustic control can be
achieved with static compensation implemented through a multiple input, multiple
output (MIMO) array of colocated transducers. Since static compensation requires
a matrix of constant gains, it is easily realized in analog or digital hardware.
By augmenting the system dynamics to include radiation filters, the dual
Levine--Athans algorithm was implemented to design the appropriate static
compensator. Results for various MIMO control cases are presented.